Therefore , the solution of the given problem of equation comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).
Describe equation.An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Here,
Given :([tex]x^{2}[/tex]-2x-37)/([tex]x^{2}[/tex]-3x-40)
[tex]x^{2}[/tex]-3x-40
Factor[tex]x^{2}[/tex]-2x-37
[tex]x^{2}[/tex]-2x-37/(x-8) (x+5)
Thus ,
the factors comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5)
Therefore , the solution of the given problem of equation comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).
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Mamas bakery just opened and is currently selling only two types of pastry. Each month mamas bakery will add two more types of pastry to their menu. Suppose this pattern continues. What algebraic expression can be used to find the number of pastries offered after any given number of months? How many pastries will be offered in one year?
The number of pastries will be offered in one year could be 26 and the algebraic expression could be x = 2 + 2y
What is Arithmetic progression ?
Arithmetic progression could be defined as the sequence of number where the difference between two consecutive number is same.
Given,
Mamas bakery just opened and is currently selling only two types of pastry.
Each month mamas bakery will add two more types of pastry to their menu.
let the number of pastries be x.
let y be the given number of pastries.
Hence the algebraic expression could be
x = 2 + 2y
Number of pastries will be offered in one year could be
x = 2 + 2 * 12
x = 26
Hence, the number of pastries will be offered in one year could be 26 .
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The point (14, –3) and (–10, –3) fall on a particular line. What i it equation in lope-intercept form?
Its equation in the slope-intercept form will be y = -3 because the y coordinates of both points are equal.
Given points in terms of coordinates so let's try to understand what are coordinates.
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis(vertical) are the two axes that make up a coordinate plane. (Telling children that the x-axis crosses because "x" is a cross helps them remember which of these is which.)
We have total 4 coordinates
First Coordinate both x and y are positive.
Second Coordinate x is negative and y is positive.
Third Coordinate both x and y are negative.
Fourth Coordinate x is positive and y is negative.
Point A is (14, -3)
Point B is (-10, -3) both have the same y coordinate.
So line AB is parallel to the x-axis.
The formula for the equation in the slope-intercept formula is
y = mx + c.
m is the slope of the line and c is the intercept on the y-axis.
Line AB is parallel to the x-axis the equation is y = -3.
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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
A)Y = -3 x+ 56
B)Y = -2 x +46
C)Y = -2 x +56
D)Y = 2 x + 56
The equation for the linear model in the scatter plot is Y = -2x + 56.
To calculate this equation, we need to find the slope (m) and the y-intercept (b). The slope is calculated with the formula m = (y2 - y1) / (x2 - x1), where x and y represent the coordinates of two points on the graph.
The two points closest to the line in the scatter plot are (2, 48) and (4, 52). Substituting these values into the formula gives us m = (52 - 48) / (4 - 2) = 4/2 = 2.
The y-intercept is the point where the line crosses the y-axis. To find it, we need to substitute the slope and one point's coordinates into the equation y = mx + b. For our equation, we will use the coordinates (2, 48). Substituting these values into the equation gives us 48 = 2x + b, and solving for b gives us b = 48 - 2(2) = 44.
Therefore, the equation for the linear model in the scatter plot is Y = -2x + 56.
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How do you solve X easily?
To solve x easily, shift the variables to one side, and shift all the other values including constants to the other side.
Solve for x means finding the value of x in an equation involving one variable that is x or with different variables like finding x in terms of y. Whatever the case is you are required to find the value of x, for which the given equation holds true.
For example, if the equation is given as: 2x - 50 = 4
Now solve the tjis equation for x by keeping the term with variable x to one side, and shifting all the other values such as constants to the other side.
now
2x = 4 + 50
2x = 54
x = 54/2
x= 27
This is the required value of x which is obtained after solving the equation for x.
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2 An experimental airplane is flying at an altitude of 8,000 feet when it begins descending to land. If the plane descends at a constant rate of 125 feet per minute, how long will it take to land the plane? A. Estimate the quotient. Explain how you found your estimate. B. How do you decide where to place the first number in the quotient? C. How long will it take the plane to land? How can you use your estimate to check if your answer is reasonable? 125 8000 500 0
Step-by-step explanation:
[tex]if 5(n - 6) = 1find \: n[/tex]
Answer:
n = 6.2
Step-by-step explanation:
5 ( n - 6 ) = 1
→ Expand
5n - 30 = 1
→ Add 30 to both sides
5n = 31
→ Divide both sides by 5
n = 6.2
A basket of the fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw the 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket. What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded?
A. 5/144
B. 5/108
C. 1/28
D. 1/22
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
What is the probability:The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.
The outcome of an event may be known to us or unknown to us. When this happens, we indicate that there is a probability that the event will happen or not.
It is also defined as the ratio of the number of favorable outcomes to the total number of outcomes.
The formula for the probability of an event is given by
P(E) = No of favorable outcomes/ Total No of outcomes ]
Here we have
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges.
Total number of fruits = 4 + 3 + 5 = 12
By the given formula,
Probability of selecting 1 banana = 4/12 = 1/3
Probability of selecting 1 apple = 3/12 = 1/4
Probability of selecting 1 orange = 5/12
The order of the fruits that is given is 1 banana, then 1 apple, then 1 orange
Let's assume that,
We taken 1 banana
=> The probability of selecting one banana = 1/3
After taking one banana, remaining fruits = 12 - 1 = 11
Now we have drawn 1 apple
=> The probability of selecting one apple in 11 fruits = 3/11
After taking one apple remaining fruits = 11 - 1 = 10
=> The probability of selecting one orange from 10 fruits = 5/10 = 1/2
From the above calculations,
The probability of selecting in given order = (1/3)(3/11)(1/2) = 3/66 = 1/22
Therefore,
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
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what is the area of the shaded part, in square meters, below?
Check the picture below.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(4)(20)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{20})}}\implies 80+50\implies \text{\LARGE 130}~m^2[/tex]
What do you mean by equivalents?
The term equivalent means equal or interchangeable in value, quantity, significance, etc.
In math term equivalent is used for the following concepts.
expressionfractionetc.Here we have to know that the term equivalent refers to two numbers, expressions, or quantities with the same value.
Here there are many ways to express an equivalent quantity and it can be denoted either by a bar or an equivalent symbol.
Here we want to know that the equivalent can also mean some common or logical equivalence between different values or quantities.
Therefore, based on these definition we have identified that the equivalence is similar but not the same as equality.
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The pairs of polygons below are similar. Give the scale factor of figure A to figure B.
3/5
2/5
25/18
5/2
5/3
18/25
In the given pairs of polygons the scale factor of figure A to figure B is 2:4.
How is scale factor calculated?The scale factor is calculated using the following fundamental formula: Scale factor = Dimension of the new shape Dimension of the old shape. The formula for calculating the scale factor is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is magnified.
The ratio of a smaller figure's side to its corresponding side in the bigger figure is the scale factor between the two figures.
As a result, the smaller figure's side length of 4 units and its side length of 10 units are equivalent.
Therefore:
Scale factor = 4:10
i.e. 2:5
Simplify
Scale of the smaller figure to the larger is equal to 2:4.
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what is the difference in the volumes, in cubic inches, of two spheres, one with a radius of 3 inches and the other with a radius of 5 inches.
The difference in the volumes of the sphere is 410.29 inches³.
What is the difference in the volumes?A sphere is a three dimensional circle in which each point on the circumference is equidistant from its center. The volume of a three-dimensional object is the amount of space in the object.
The formula for the volume of the sphere = 4/3πr³
Where:
π = 3.14r = radiusDifference in the volumes = volume of the larger sphere - volume of the smaller sphere
(4/3 x 5³ x 3.14) - (4/3 x 3³ x 3.14)
523.33 - 113.04 = 410.29 inches³
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ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Hope it helped :) If you need a explantion step by step then tell me.
The sine of the complimentary angle to 75 degrees
Answer: 0.65
Step-by-step explanation:
Two angles are said to be complementary angles when the sun of their angles will be equal to 90°. In this case, since the angle given is 75°, then the other angle will be:
= 90° - 75°
= 15°
Therefore, we'll then find the sine of 15° which will be:
= Sine 15°
= 0.65
Therefore, the correct option is A.
Camille thinks that -(-4) has a positive value and Laura thinks -(-4) has a negative value. Who is correct?
shreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesh please help
Answer:
16
Step-by-step explanation:
Answer:
16 balls
Step-by-step explanation:
20-4=16
Can you help me out with number 7
Answer:
111
Step-by-step explanation:
Please mark brainliest
Find the perimeter of the rectangle. Be sure to write the correct unit in your answer.
13 ft side
18 ft bottom
Answer:
perimeter = 2*length + 2*width
2x13 + 2x18 = 62ft
hope that answers your question
Step-by-step explanation:
22,500,000 is what percent of 90,000,000
Answer:
25%
Step-by-step explanation:
Mark as Brainllest
4/9 down on a number line
Answer:
Step-by-step explanation:
!:}
-------------------------------------------------------------------------------------------------------------
0 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 9/9
What is vertically opposite angles in maths class 7?
When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles.
A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees. For example, if two lines intersect and make an angle, say X=35°, then its opposite angle is also equal to 35°. And the adjacent angle to angle X will be equal to 180 – 35 = 145°
In the given figure, ∠QOR and ∠SOP form a pair of vertically opposite angles and similarly ∠SOQ and ∠POR form such a pair. Therefore,
∠QOR = ∠SOP
∠SOQ = ∠POR
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Identify the surface whose equation is given.
p = sin θ sin φ
Therefore , the solution of the given problem of trigonometry comes out to be surface x² + y² + z² = p².
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.
Here,
Given:
p = sinθ sin∅
To Locate:
the equation's surface
Solution:
adding p to both sides of the equation
p sinθ sin∅ = p²
p sinθ sin∅ = p²
p sinθ sin∅ =y
x²+y²+z²=y
x² + y² - y+ z² = 0
x²+ (y - 1/2)²+ z² = 1/4
r² =1/4, r= √1/4,
The surface of the sphere having a radius of 1/2 and a center at (0, 1/2, 0) is designated as 1/4.
Sphere-centered coordinates
x = sin p sin
y = sin(p), sin(p),
z = p cos∅
x² + y² + z² = p²
Therefore , the solution of the given problem comes out to be surface
x² + y² + z² = p².
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Please help, picture attached.
P.S just ignore the answer i put i was kinda guessing it's confusing for me.
Answer:
If angle dgf as an angle of 108
that means that the equation would look like this x + 4x-2=108
= 5x-2=108
then you solve for x
5x=110
110/5 = 22 = x
hope that answers your question
Step-by-step explanation:
What is the area of a circular pool with a diameter of 18 feet? Use 3.14 for
pi and round your answer to the nearest hundredth.
Answer:
254.47 (exact)
Step-by-step explanation:
A ladder of 6m rests with it's foot on a horizontal ground and leans against a vertical wall. The imclination of the ladder to the horizontal is 80 degree.Find correct to 1d.P. (a) The distance of the foot of the ladder from the wall (b) The height above the ground at which the upper end of the ladder touches the wall.
Answer:
a) 1.0m
b) 5.9m
Step-by-step explanation:
(a) The distance of the foot of the ladder from the wall
cos∅ = adj/hyp
cos80 = adj/6
multiply both sides by 6
6 * cos 80 = adj
1.041889066001582 = adj
to 1 dp
1.0m
-------------------------------
(b) The height above the ground at which the upper end of the ladder touches the wall
sin∅ = opp/hyp
sin80 = opp/6
6 * sin80 = opp
5.908846518073248 = opp
To 1 dp
5.9m
Can you help me with this
Answer: slope=2
Step-by-step explanation:
using y=mx+b, we know the equation of the line is y=2x. The slope is the m term so we know that the slope is 2.
Write the GCF of polynomials. Through explanation if you want
Answer:
32y³
Step-by-step explanation:
A car's value is $9,800.A sales person receives 5% commission if he
sells the car. How much would he obtain in commission from the sale of
that car.
The commission the salesperson would receive is $490.
What is a commission?
A commission is a payment made to an individual, such as a salesperson or agent, for services rendered or a good sold. The commission is typically a percentage of the sale or revenue generated. This percentage is known as the commission rate.
To find the commission a salesperson would receive from selling a car, we need to multiply the commission rate (5%) by the car's value ($9,800).
The commission rate is given as a percentage, so we need to convert it to a decimal to do the calculation. We can do this by dividing the percentage by 100.
So 5% = 5/100 = 0.05
Then to find the commission the salesperson would receive we multiply:
Commission = 0.05 * $9,800
Commission = $490
Hence, the commission the salesperson would receive is $490.
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Arc length for xy I’ve been stuck on this for a while
Answer:
12.22
Step-by-step explanation:
There are 360° in a full circle
The circumference of a circle is c = 2πr
----------------------------------
The lenght of the arc will be the portion of the circumferece included in the angle
l = (∅/360) * 2πr
plug in the knowns
l = (70/360) * 2π(10)
l ≈ 12.22
need help with this
Answer:
What is questions?
Step-by-step explanation:
What is questions?
Graph a line given the point A(-2, 3) and the slope of
2|3
Answer:
Step-by-step explanation: